| 具有椭圆性质的耗散非线性发展方程组解的渐近行为 |
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| 引用本文： | 朱长江,王治安.具有椭圆性质的耗散非线性发展方程组解的渐近行为[J].华中师范大学学报(自然科学版),2003,37(3):277-281. |
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| 作者姓名： | 朱长江 王治安 |
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| 作者单位： | 华中师范大学,数学与统计学学院,非线性分析实验室,武汉,430079 |
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| 基金项目： | The research was supported by the Natural Science Foundation of China(1 0 1 71 0 3 7). |
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| 摘 要： | 讨论了如下具有椭圆性质的耗散非线性发展方程组Cauchy问题解的整体存在性和渐近行为ψt=-(1-α)ψ-θx+αψxx,θt=-(1-α)θ+υψx+2ψθx+αθxx,具有初值(ψ,θ),(x,0)=(ψ0(x),θ0(x))→(ψ±,θ±),
x→±∞,其中α和υ是正常数且满足条件α＜1, υ＜α(1-α).
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| 关 键 词： | 渐近行为 能量方法 校正函数 先验估计 |
Asymptotic Behavior of Solutions to Dissipative Nonlinear Evolution Equations with Ellipticity |
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| Abstract.Asymptotic Behavior of Solutions to Dissipative Nonlinear Evolution Equations with Ellipticity[J].Journal of Central China Normal University(Natural Sciences),2003,37(3):277-281. |
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| Authors: | Abstract |
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| Abstract: | In this paper, we study the global existence and the asymptotic behavior of the solutions to Cauchy problem for the following nonlinear evolution equations with ellipticityψt=-(1-α)ψ-θx+αψxx,θt=-(1-α)θ+υψx+2ψθx+αθxx,with initial data(ψ,θ)(x,0)=(ψ0(x),θ0(x))→(ψ±,θ±), x→±∞,where α and υ are positive constants such that α<1, υ<α(1-α). |
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| Keywords: | asymptotic behavior energy method correct function a prior estimate |
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